Geometric optimal control: theory, methods and examples

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of the theory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard proceduresand can be used to obtain a full understanding of the global structure of solutions for the underlying problem. The text includes a palette of fully workedout examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapy approaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The text is quite versatile and contains material on different levels ranging from the introductory and elementary to the quite advanced. Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduateand all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the more introductory topics to those parts that are in a monograph style were more advanced topics are presented. While the presentation is mathematically rigorous, it is carried outin a tutorial style that makes the text accessible to a wide audience of researchers and students from various fields, not just the mathematical sciences and engineering.

• ISBN: 978-1-4614-3833-5
• Editorial: Springer
• Encuadernacion: Cartoné
• Fecha Publicación: 10/06/2012
• Nº Volúmenes: 1
• Idioma: Inglés